In this paper, we will assume a similar model in spirit of [1]}. However, our model uses a generalized version of the multinomial logit choice model which typically assumes an exponential form. The exponential form is related to a linear utility function, however our functional form will correspond to a nonlinear utility function. One of our main goals of this work is to understand how this nonlinearity of the utility function affects the critical delay which induces a Hopf bifurcation. As discussed in more detail in Section , we will focus our attention on utilities that incorporate the complementary cumulative distribution function of some probability distribution. We will examine how the choice of probability distribution used to induce the choice model can lead to different system dynamics.
